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Finding the Fourth Proportional to 272,000.63, 408,082.41 and 109,811.16

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Solution

The fourth proportional to 272,000.63, 408,082.41 and 109,811.16 is: 164,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,000.63 : 408,082.41 = 109,811.16 : x
  2. Step 2: Convert to fraction form
    272,000.63/408,082.41 = 109,811.16/x
  3. Step 3: Cross multiply
    272,000.63x = 408,082.41 × 109,811.16
  4. Step 4: Simplify right side
    272,000.63x = 44,812,002,817.70
  5. Step 5: Solve for x
    x = 44,812,002,817.70/272,000.63
  6. Step 6: Final answer
    x = 164,749.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.